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arXiv · 1404.2129

Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis

Martin Schneider·Piet W. Brouwer
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Abstract

We review a calculation of the quantum corrections to electrical transport in graphene using the trajectory-based semiclassical method. Compared to conventional metals, for graphene the semiclassical propagator contains an additional pseudospin structure, which influences the results for weak localization, and interaction-induced effects, such as the Altshuler-Aronov correction and dephasing. Our results apply to a sample of graphene that is doped away from the Dirac point and subject to a smooth disorder potential, such that electrons follow classical trajectories. In such system, the Ehrenfest time enters as an additional timescale.

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Martin Schneider, Piet W. Brouwer. 2014-04-08. Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis. https://doi.org/10.1088/1367-2630/16/7/073015

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